Statics and Dynamics of disordered chiral systems: from universality classes to spin liquid predictions

Disordered chiral systems with bipartite symmetry host a 
diverging density of states at zero energy whose functional form — Dyson 
or Gade-Wegner — is dictated by dimensionality and disorder type. Which 
form governs site-diluted systems has been debated for over a decade. 
Building on our earlier resolution of this controversy through statics, 
I present new results on the dynamical side: wave packet spreading that 
cleanly distinguishes the two singularities, a crucial and previously 
neglected role for wavefunction multifractality, and a phase diagram in 
the vacancy–bond disorder plane. Since these chiral hopping problems 
arise naturally in the description of certain frustrated magnets, I will 
discuss the implications for experimentally accessible probes, including 
specific heat, NMR relaxation, thermal transport, and neutron 
scattering.